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Finding the Fourth Proportional to 522,676,861.78, 784,011,805.01 and 211,779,890.97

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Solution

The fourth proportional to 522,676,861.78, 784,011,805.01 and 211,779,890.97 is: 317,668,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,676,861.78 : 784,011,805.01 = 211,779,890.97 : x
  2. Step 2: Convert to fraction form
    522,676,861.78/784,011,805.01 = 211,779,890.97/x
  3. Step 3: Cross multiply
    522,676,861.78x = 784,011,805.01 × 211,779,890.97
  4. Step 4: Simplify right side
    522,676,861.78x = 166,037,934,586,700,192
  5. Step 5: Solve for x
    x = 166,037,934,586,700,192/522,676,861.78
  6. Step 6: Final answer
    x = 317,668,423.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.